TSTP Solution File: CAT003-4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Fri Jul 15 00:07:06 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 4 RR)
% Number of literals : 8 ( 7 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(associativity_of_compose,axiom,
compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',associativity_of_compose) ).
cnf(epimorphism,hypothesis,
( compose(X,compose(a,b)) != Y
| compose(Z,compose(a,b)) != Y
| X = Z ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',epimorphism) ).
cnf(ha_equals_ga,hypothesis,
compose(h,a) = compose(g,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ha_equals_ga) ).
cnf(prove_g_equals_h,negated_conjecture,
g != h,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_g_equals_h) ).
cnf(35,plain,
compose(h,compose(a,X)) = compose(compose(g,a),X),
inference('PARAMODULATE',[status(thm)],[associativity_of_compose,ha_equals_ga,theory(equality)]) ).
cnf(46,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[epimorphism,associativity_of_compose,prove_g_equals_h]),35,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : CAT003-4 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 00:07:10 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T00:07:10
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-05-30T00:07:10
% 0.20/0.49
% 0.20/0.52 ; Recognized associativity assertion (= (|compose| ?X (|compose| ?Y ?Z)) (|compose| (|compose| ?X ?Y) ?Z)).
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 114 formulas have been input or derived (from 17 formulas).
% 0.20/0.52 ; 46 (40%) were retained. Of these,
% 0.20/0.52 ; 1 ( 2%) were simplified or subsumed later,
% 0.20/0.52 ; 45 (98%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.003 8% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 3% Assert (16 calls)
% 0.20/0.52 ; 0.006 15% Process new row (72 calls)
% 0.20/0.52 ; 0.001 3% Resolution (32 calls)
% 0.20/0.52 ; 0.002 5% Paramodulation (16 calls)
% 0.20/0.52 ; 0.000 0% Condensing (19 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (19 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (19 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.20/0.52 ; 0.001 3% Forward simplification (72 calls)
% 0.20/0.52 ; 0.001 3% Backward simplification (46 calls)
% 0.20/0.52 ; 0.002 5% Ordering (144 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.022 56% Other
% 0.20/0.52 ; 0.039 Total
% 0.20/0.52 ; 0.040 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 93 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 19 entries (19 at peak, 19 added, 0 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 79 nodes (79 at peak, 79 added, 0 deleted).
% 0.20/0.52 ; Retrieved 14 possibly forward subsuming rows in 19 calls.
% 0.20/0.52 ; Retrieved 2 possibly backward subsumed rows in 19 calls.
% 0.20/0.52 ; Path-index has 96 entries (96 at peak, 97 added, 1 deleted).
% 0.20/0.52 ; Path-index has 220 nodes (220 at peak, 221 added, 1 deleted).
% 0.20/0.52 ; Trie-index has 96 entries (96 at peak, 97 added, 1 deleted).
% 0.20/0.52 ; Trie-index has 283 nodes (283 at peak, 284 added, 1 deleted).
% 0.20/0.52 ; Retrieved 91 generalization terms in 189 calls.
% 0.20/0.52 ; Retrieved 41 instance terms in 40 calls.
% 0.20/0.52 ; Retrieved 653 unifiable terms in 149 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of rows to process has 24 entries:
% 0.20/0.52 ; 3 with value 15 11 with value 24 2 with value 27
% 0.20/0.52 ; 4 with value 16 2 with value 25 2 with value 31
% 0.20/0.52 ; The agenda of rows to give has 28 entries:
% 0.20/0.52 ; 3 with value (4 5) 1 with value (4 10) 3 with value (4 14)
% 0.20/0.52 ; 1 with value (4 6) 1 with value (4 11) 6 with value (4 15)
% 0.20/0.52 ; 1 with value (4 8) 1 with value (4 12) 1 with value (4 18)
% 0.20/0.52 ; 1 with value (4 9) 2 with value (4 13) 7 with value (4 20)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.041 seconds of real time
% 0.20/0.52 0.034762 seconds of user run time
% 0.20/0.52 0.006192 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 2,092,400 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T00:07:10
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------